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20435316 = 223112353127
BaseRepresentation
bin100110111110…
…1000101110100
31102110012222120
41031331011310
520212412231
62005555540
7335461116
oct115750564
942405876
1020435316
11105983a0
126a15bb0
134306605
1429dd3b6
151bd9d96
hex137d174

20435316 has 96 divisors (see below), whose sum is σ = 55738368. Its totient is φ = 5765760.

The previous prime is 20435287. The next prime is 20435341. The reversal of 20435316 is 61353402.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 160845 + ... + 160971.

It is an arithmetic number, because the mean of its divisors is an integer number (580608).

Almost surely, 220435316 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20435316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27869184).

20435316 is an abundant number, since it is smaller than the sum of its proper divisors (35303052).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20435316 is a wasteful number, since it uses less digits than its factorization.

20435316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 20435316 is about 4520.5437726008. The cubic root of 20435316 is about 273.3970259397.

Adding to 20435316 its reverse (61353402), we get a palindrome (81788718).

The spelling of 20435316 in words is "twenty million, four hundred thirty-five thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 11 12 22 23 33 44 46 53 66 69 92 106 127 132 138 159 212 253 254 276 318 381 506 508 583 636 759 762 1012 1166 1219 1397 1518 1524 1749 2332 2438 2794 2921 3036 3498 3657 4191 4876 5588 5842 6731 6996 7314 8382 8763 11684 13409 13462 14628 16764 17526 20193 26818 26924 32131 35052 40227 40386 53636 64262 74041 80454 80772 96393 128524 148082 154813 160908 192786 222123 296164 309626 385572 444246 464439 619252 888492 928878 1702943 1857756 3405886 5108829 6811772 10217658 20435316